Continuous Archimedean semigroups on real intervals (Q1677267)
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scientific article; zbMATH DE number 6805873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous Archimedean semigroups on real intervals |
scientific article; zbMATH DE number 6805873 |
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Continuous Archimedean semigroups on real intervals (English)
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10 November 2017
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Continuous Archimedean semigroups on real intervals are investigated. For the purpose of the investigation they are divided into three classes. A complete description of these semigroups using real functions that are called ample functions is obtained. A criterion for two continuous Archimedean semigroups to be isomorphic in terms of their ample functions is given. Using the obtained characterization uncountably many non-isomorphic continuous Archimedean semigroups on a real interval are constructed. Connections between these results and those of earlier studies are discussed.
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continuous semigroup
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topological semigroup
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continuous group
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topological group
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ordered semigroup
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Archimedean semigroup
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standard function
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0.8877428
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0.8830621
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0.8749023
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0.87031806
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0.8688165
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0.86776114
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